Nahmabin's Unified Substrate Theory (NUST), Geometry, Gauge Structure, Fermions, Dark Matter, and Cosmology from a Single Mechanical Postulate

Nahmabin’s Unified Substrate Theory (NUST) is a first‑principles framework in which spacetime, gauge fields, fermions, gravity, quantum mechanics, dark matter, and cosmology all emerge from a single mechanical postulate. No geometry, metric, fields, dimensions, or quantum structure are assumed at the start. The theory begins with a pre‑geometric substrate of confined elastic‑kinetic tension energy in a metastable self‑compressed state. From this single postulate, the substrate action is uniquely derived. The system undergoes a mathematically forced finite‑time rupture (“the snap”), proved using a Levine–Glassey blowup inequality. The snap produces two primary modes whose geometry determines the emergent structure of the universe. Spacetime emerges from the rupture: exactly three spatial dimensions are derived from stability arguments, and the spatial topology is S³ via SO (4) → SO (3) symmetry breaking. A Lorentzian metric with signature (−, +, +, +) arises from mode‑gradient structure, not from assumption. The two primary modes (GS and RS) and an induced third mode (DS) generate the full Standard Model gauge group. SU (3) arises from antisymmetric coupling‑tensor invariance; SU (2) ₍w₎ × U (1) ᵧ emerges from the internal structure of the primary modes. No gauge symmetry is inserted by hand. The eight gluons, electroweak bosons, and Higgs sector all follow from the three‑mode system. Fermions emerge from geometric phase structure: spin‑½ arises from a Berry‑phase twist, three generations arise from the Z₃ center of SU (3), and the full fermion mass hierarchy is derived. The neutrino sector yields a 6×6 seesaw mass matrix with a predicted minimum neutrino mass of 0. 0085 eV. Gravity is induced via Sakharov‑type elasticity of the substrate, with the gravitational constant Gₑff = 1/ (12 Aₛnap) derived from the snap scale. The graviton appears as a massless spin‑2 perturbation of the emergent metric. No cosmological constant is required; late‑time acceleration arises from the dynamical weakening of Gₑff. Cosmology follows directly: the theory predicts H₀ = 68. 9 ± 0. 4 km/s/Mpc, a tensor‑to‑scalar ratio r = 0. 038 ± 0. 002, an S³ universe with matched circles at ~28°, and a CMB EB polarisation peak at ℓ ≈ 410. Dark matter consists of two components: a keV warm component and a MeV self‑interacting component with σ/m ≈ 0. 8 cm²/g. NUST makes eleven sharp, falsifiable predictions with explicit numerical boundaries. The entire structure—spacetime, gauge fields, fermions, gravity, and cosmology—emerges from a single mechanical postulate with no free parameters added by hand.